Question

What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.

Answer 1

The length of the diagonal of a poster board is 35.6 inches.

Explanation:

To find : What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches?

Solution :

The dimensions of a poster board is

Length = 22 inches

Breadth = 28 inches

The diagonal is given by,

`D=√(L^2+B^2)`

`D=√(22^2+28^2)`

`D=√(484+784)`

`D=√(1268)`

`D=35.60`

Therefore, the length of the diagonal of a poster board is 35.6 inches.

Answer 2

The length of the diagonal of a poster board is
`35.6\ in`

Explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

`x^(2)=22^(2)+28^(2) \\ \\x^(2)=1,268\\ \\x=35.6\ in`